-5(3a-7)=2(a-12)-9

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Solution for -5(3a-7)=2(a-12)-9 equation: 


Simplifying
-5(3a + -7) = 2(a + -12) + -9

Reorder the terms:
-5(-7 + 3a) = 2(a + -12) + -9
(-7 * -5 + 3a * -5) = 2(a + -12) + -9
(35 + -15a) = 2(a + -12) + -9

Reorder the terms:
35 + -15a = 2(-12 + a) + -9
35 + -15a = (-12 * 2 + a * 2) + -9
35 + -15a = (-24 + 2a) + -9

Reorder the terms:
35 + -15a = -24 + -9 + 2a

Combine like terms: -24 + -9 = -33
35 + -15a = -33 + 2a

Solving
35 + -15a = -33 + 2a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-2a' to each side of the equation.
35 + -15a + -2a = -33 + 2a + -2a

Combine like terms: -15a + -2a = -17a
35 + -17a = -33 + 2a + -2a

Combine like terms: 2a + -2a = 0
35 + -17a = -33 + 0
35 + -17a = -33

Add '-35' to each side of the equation.
35 + -35 + -17a = -33 + -35

Combine like terms: 35 + -35 = 0
0 + -17a = -33 + -35
-17a = -33 + -35

Combine like terms: -33 + -35 = -68
-17a = -68

Divide each side by '-17'.
a = 4

Simplifying
a = 4

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